Answer:
x<3 and x≥5
Step-by-step explanation:
Look at the circles and what is shaded on the number line. The first circle is at x=3, and it's an open circle. An open circle means that the interval does not include that point. The arrow is going to the left, meaning x < 3.
The next circle is at x=5. It is a closed circle, so the interval does include that point (so draw a bar under the less than/greater than sign). Next, notice how the arrow is pointing to the right. That means that the blue area is at x=5 and greater than x=5, so x≥5.
Answer:
x= -1/2 = -0.500
x=4
Step-by-step explanation:
2x^2-7x-4=0
2x^2-8x+1x-4=0
2x(x-4)+1(x-4)=0
(2x+1)(x-4)=0
2x+1=0...2x= -1.. x= -1/2 x-4=0 .. x=4
checking the solution
2(-1/2)^2-7(-1/2)=4..... 4=4
2(4)^2-7(4)=4....... 4=4
Answer:
636.4 in³
Step-by-step explanation:
Volume of a cone is given by:
where r is the radius of the base of the cone and h is its height.
It is given that, the radius of the base of the cone is, r = 8 in
The height of the cone is, h = 9.5
Thus, the volume of the cone is 636.4 in³
Answer: D. y = -4x + 4
Step-by-step explanation:
Notice that the y-intercept is when x is zero and the x intercept is when y is 0.
and to write in the equation in slope intercept form , you will need the slope and the intercept.
We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.
y intercept: ( 0,4)
x intercept: (1,0)
y coordinates difference: 4 - 0 = 4
x coordinates difference: 0 - 1 = - 1
Slope: 4/-1 = -4
Since the slope is -4 and the the y intercept is 4 , the equation will be
y = -4x + 4
Answer:
216 cm³
Step-by-step explanation:
1/3x + 63 = 5/8x
subtract 1/3x from each side; (1/3x = 8/24x and 5/8x = 15/24x)
63 = 7/24x
7x = 63(24)
7x = 1512
x = 216
